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105485227236 = 22341039313351
BaseRepresentation
bin110001000111101101…
…0001101010011100100
3101002021110001202110000
41202033122031103210
53212013204232421
6120243110301300
710423010431434
oct1421732152344
9332243052400
10105485227236
114081072a554
121853a957830
139c4105032c
1451697502c4
152b25a8c226
hex188f68d4e4

105485227236 has 60 divisors (see below), whose sum is σ = 276025509760. Its totient is φ = 35127788400.

The previous prime is 105485227181. The next prime is 105485227279. The reversal of 105485227236 is 632722584501.

105485227236 is a `hidden beast` number, since 1 + 0 + 54 + 8 + 522 + 72 + 3 + 6 = 666.

It is a super-2 number, since 2×1054852272362 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105485227191 and 105485227200.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179961 + ... + 493311.

Almost surely, 2105485227236 is an apocalyptic number.

It is an amenable number.

105485227236 is an abundant number, since it is smaller than the sum of its proper divisors (170540282524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105485227236 is a wasteful number, since it uses less digits than its factorization.

105485227236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314406 (or 314395 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 105485227236 in words is "one hundred five billion, four hundred eighty-five million, two hundred twenty-seven thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1039 2078 3117 4156 6234 9351 12468 18702 28053 37404 56106 84159 112212 168318 313351 336636 626702 940053 1253404 1880106 2820159 3760212 5640318 8460477 11280636 16920954 25381431 33841908 50762862 101525724 325571689 651143378 976715067 1302286756 1953430134 2930145201 3906860268 5860290402 8790435603 11720580804 17580871206 26371306809 35161742412 52742613618 105485227236